# What is the GCF of 25 and 35?

## Answer: GCF of 25 and 35 is 5

GCF of 25 and 35 is the biggest number which divides both 25 and 35 without any remainder.

## Explanation:

### Let us see 2 different methods to find the GCG of 25 and 35

### GCF of 25 and 35 by Prime Factorization

Here we represent 25 and 35 as a product of their prime numbers:

Prime factorization of 25 is 5 x 5

Prime factorization of 35 is 5 x 7

Common factors = 5

GCF is the product of the factors that are common to each of the given numbers.

GCF is = 5

### GCF of 25 and 35 by Listing the Common Factors

Factors of 25 : 1, 5, and 25

Factors of 35 : 1, 5, 7, and 35

Common Factors of 25 and 35 : 1, and 5

Greatest Common Factor from the list = 5

GCF of 25 and 35 is 5